5477601024000 has 2016 divisors, whose sum is σ = 23879474892000. Its totient is φ = 1249932902400.

The previous prime is 5477601023959. The next prime is 5477601024043. The reversal of 5477601024000 is 4201067745.

5477601024000 is a `hidden beast` number, since 5 + 4 + 7 + 7 + 601 + 0 + 2 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×5477601024000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 9144575701 + ... + 9144576299.

It is an arithmetic number, because the mean of its divisors is an integer number (11844977625).

Almost surely, 2^{5477601024000} is an apocalyptic number.

5477601024000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5477601024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11939737446000).

5477601024000 is an abundant number, since it is smaller than the sum of its proper divisors (18401873868000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5477601024000 is an frugal number, since it uses more digits than its factorization.

5477601024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 5477601024000 in words is "five trillion, four hundred seventy-seven billion, six hundred one million, twenty-four thousand".